Limit cycles in planar piecewise linear Hamiltonian systems with three zones without equilibrium points
| Autor: | Jaume Llibre, Alexander Fernandes da Fonseca, Luis Fernando Mello |
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| Rok vydání: | 2021 |
| Předmět: |
Physics
Equilibrium point Hamiltonian vector field Applied Mathematics Mathematical analysis Piecewise smooth vector field Limit cycle 01 natural sciences 010305 fluids & plasmas Hamiltonian system Piecewise linear function Planar Modeling and Simulation 0103 physical sciences Limit (mathematics) 010301 acoustics Engineering (miscellaneous) |
| Zdroj: | Recercat: Dipósit de la Recerca de Catalunya Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) Recercat. Dipósit de la Recerca de Catalunya instname Dipòsit Digital de Documents de la UAB Universitat Autònoma de Barcelona |
| Popis: | We study the existence of limit cycles in planar piecewise linear Hamiltonian systems with three zones without equilibrium points. In this scenario, we have shown that such systems have at most one crossing limit cycle. |
| Databáze: | OpenAIRE |
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